Let S = {[1, -1], [2, 3], [1, 0]} and W be the subspace of the vector space V = R^2x2 spanned by S. Which of the following statements are true?
i) The dimension of W is 2.
ii) The dimension of the orthogonal complement W⊥ of W is 4.
iii) The set B = {[0, 0], [2, 0], [0, 0]} is a basis for V.
iv) The set C = {[1, 0], [0, 1]} is a basis for V.
a) is in W if a + 2b - c = 0 and a + b - d = 0.
v) W = Aii and v = Biv, and vi = Cii, iv, and (vi).
vi) All of them.